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Results tagged with noncommutative-algebra
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user 124549
Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
2
votes
0
answers
266
views
Road map: beyond Artin-Wedderburn theorem
For a noncommutative semisimple ring $R$, its structure and its category of representations can be largely understood using Artin-Wedderburn theorem. Such structure theory is useful, for example, in t …
- 5,230
11
votes
3
answers
894
views
Does Morita theory hint higher modules for noncommutative ring?
Two possibly noncommutative rings are called Morita equivalent if their left-module categories are equivalent. In the commutative case, Morita equivalence is nothing more than ring isomorphism. Otherw …
- 54.6k
12
votes
3
answers
832
views
Subalgebra of a group algebra
Let $k$ be a field, $G$ a finite group, and $k[G]$ the group algebra.
Let $A$ be a subalgebra of $k[G]$. In general, $A$ is not the group algebra of some subgroup $H$ of $G$.
Question: Is there any c …
- 1,028